approximation procedure
1.In each step of the sequential design, an individual controller is designed by the robust frequency response approximation design procedure, the controller order is reduced by a frequency response approximation method.
2.The inelastic scattering cross sections and angular distributions of discrete levels are calculated and analyzed by the distorted wave Born approximation theory based on the unified Hauser Feshbach theory and the exciton model. With the fitting procedure the neutron optical model potential parameters are obtained.
3.The results of numerical experiments, using the four-dimensional variational data assimilation system of the nonhydrostatic mesoscale model MM5, show that: the tangent linear model and adjoint model conducted by keeping the "on-off" switches the same as the basic state, can provide a good approximation of the first-order information to the NLM perturbation and a good descent direction for the minimization procedure;
4.The governing equations under Boussinesq approximation are discretized by finite difference method with second order spatial accuracy and first order time accuracy on a non uniform mesh. The procedure was run on the parallel computer “DAWN1000A” at the National High Performance Computing Center (Wuhan).
5.The differential cross sections for the elastic scattering of electron from diatomic molecules Nc and CO at 100- 5000 eV in the first Born approximation (FBA) are analytically derived. The self-consistent field molecular orbitals approximated as a linear combination of atomic orbitals (SCF-LCAO-MO) and the STO-KG procedure are used.

